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68465316004740 = 223351922995330577
BaseRepresentation
bin11111001000100110100101…
…10101110000001110000100
322222102012221120221010011000
433210103102311300032010
532433213431344122430
6401340310523213300
720264312232636534
oct1744232265601604
9288365846833130
1068465316004740
111a8a6a82aa7846
127819053977230
132c283369ac2a5
1412c9a4ba6b4c4
157dae176dbe60
hex3e44d2d70384

68465316004740 has 384 divisors, whose sum is σ = 225436671936000. Its totient is φ = 17202337431552.

The previous prime is 68465316004681. The next prime is 68465316004783. The reversal of 68465316004740 is 4740061356486.

68465316004740 is a `hidden beast` number, since 6 + 8 + 4 + 6 + 5 + 3 + 160 + 0 + 474 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2239096332 + ... + 2239126908.

It is an arithmetic number, because the mean of its divisors is an integer number (587074666500).

Almost surely, 268465316004740 is an apocalyptic number.

68465316004740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68465316004740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112718335968000).

68465316004740 is an abundant number, since it is smaller than the sum of its proper divisors (156971355931260).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

68465316004740 is a wasteful number, since it uses less digits than its factorization.

68465316004740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31796 (or 31788 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 68465316004740 in words is "sixty-eight trillion, four hundred sixty-five billion, three hundred sixteen million, four thousand, seven hundred forty".